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When selecting one card from a standard deck, what is the probability of selecting a Jack AND a Club?
An urn contains 10 red balls, 6 green balls, 15 orange balls, and 14 blue balls.
If one ball is randomly drawn from the urn, what are the odds against the ball being green?
The odds against an event are 7 to 1. Find the probability that the event will occur?
The probability of an event is 7/10. Find the odds against that event.

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2.Q1) (15 points) In the diagram below, M1 = 50 Kg, M2 = 20 Kg, mass and radius of the ...

g and 30 cm each, respectively. Both M1 and M2 rest on frictionless surfaces and the system starts from rest.
(a) Draw the fbd for each of M1, M2 and the pulley.
(b) Write the equations of motion for each of M1, M2 and the pulley.
(c) Calculate the linear acceleration of the two masses, as well as the angular acceleration of the pulley.
(d) Calculate the angular velocity of the pulley after M1 and M2 have been displaced linearly by 2 m.
Q2) (10 points) A basketball is thrown with an initial speed v0 of 10.8 m/s at 400 above horizontal, and it enters the hoop from above. The ball is released at 2.00 m above the ground. The hoop is 3.05 m above the ground and 10.0 m away from the player.
(a) Find the time at which the ball passes through the hoop.
(b) Find the ball’s velocity (express in component form) just when it enters the hoop.
(c) Find the ball’s maximum height.
Q3) (5 Points) An object is thrown up from the top of a building of height of 400 m with an initial velocity of 20 m/s.
(a) Find the position and the velocity of the object 5 s later.
(b) With what velocity will it hit the ground?
(c) At the same time the first object is thrown up, a second object is thrown up from the ground at 100 m/s. Will the two objects collide? If yes, calculate when and where,

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3.A force of 40.0 N is needed to compress a spring 0.200 m. A 1.00 x 10-2 kg ball ...

ring.
a) Calculate the work done to compress the spring. (2 marks)
b) What happens to the work done on the spring ? (1 mark)
c) If the spring is released, what happens to the energy of the spring? (1 mark)
d) Calculate the total mechanical energy of the ball at the instant it leaves the spring. (2 marks)
e) What will be the speed of the ball at the instant it leaves the spring? (2 marks)
f) If the ball is fired up into the air by the spring, how much gravitational potential energy will it gain? (1 mark)
g) What will be the maximum height of the ball? (2 marks

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t closely guess the number of ball bearings in the case wins a brand new 360 Modena. You notice that the bottom layer has 150 ball bearings, and there are 23 layers. Your best guess is there are _________ ball bearings.

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5.A ball is thrown in the air from the top of a building. Its height, in meters above ground, as ...

ction of time, in seconds, is given by
h(t) = −4.9t2 + 18t + 12.
How long does it take to reach maximum height? (Round your answer to three decimal places.)
_________

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a) A scientific theory must be able to be proven.
b) A scientific theory has been derived from known facts and always applies.
c) A scientific method should give different results depending on who performs the method.
d) Knowledge of our surroundings usually emerges through an interplay between theory and experiment.
2) The sides of a straight block are measured to 3,202 cm; 0.0012 cm and 11.2 cm, respectively. Calculate the volume of the straightening block and enter it with the correct number of value digits.
(2/0/0)
Number of words: 0
3) A 9.2 dm long and evenly thick rod rests on a support. 0.55 dm from one end, a dynamometer is hung so that the rod will hang horizontally. Then the dynamometer shows 4.4 N. How much does the bar weigh?
(1/1/0)
Number of words: 0
4) A bar AB that is homogeneous and evenly thick has a length of 2.70 m and is rotatable about an axis at A. The bar weighs 25 kg and is kept in equilibrium by a force F which has its point of attack in B. is 45 degrees. How big is the force F?
(1/1/0)
Saved!
25 * 9.82 = 245.5 N
Number of words: 6
5) A trolley rolls at a constant speed to the right. On the cart is an upward cannon that suddenly shoots a bullet. The carriage continues to the right with the same speed as before. Where does the bullet end up when it falls? For a detailed reasoning.
(1/1/1)
Number of words: 0
6) A river is 200 m wide. The water in the river flows at a speed of 2.5 m / s. A motorboat steers across the river at its maximum speed, which in stagnant water is 5.0 m / s. The boat is constantly heading perpendicular to the banks of the river. Where does the motorboat land on the other shore?
(2/0/0)
Number of words: 0
7) A ball with a mass of 2.0 hg moves at a constant speed in a circular path. The radius of the track is 1.5 m and it takes the ball 3.0 seconds to move one turn. How big is the centripetal force?
(1/1/0)
Number of words: 0
8) A bullet moves at a constant speed. Can we then safely say that the resultant of the forces acting on the bullet is zero? Motivate and discuss your answer.
(0/1/1)
Number of words: 0
9) A conductor is located between the poles of a permanent magnet. The current in the conductor goes in the direction of the plane of the paper (away from the reader). How is the force acting on the leader directed?
(1/0/0)
a) To the right of the figure
b) To the left in the figure
c) Downwards in the figure
d) Upwards in the figure
10) Protons enter horizontally from the left between two large metal plates at a speed v = 0.80 Mm / s. The plates are connected to a voltage source with the pole voltage U. Between the plates there is a homogeneous magnetic field with a flux density of 38 mT directed perpendicular to the plane of the paper. The distance between the plates is 1.5 cm. They want the protons to continue with unchanged direction and speed between the plates. Which of the plates should be connected to the positive pole of the voltage source and how large should the voltage U be?
(0/2/0)
Number of words: 0
11) The magnetic flux Φ through a 700-speed coil decreases linearly with time according to the diagram below. Calculate the voltage across the coil at time t = 1.0 ms.
12) The current in a coil with an inductance of 35 mH has a growth rate of 6.2 A / s at a given moment. What is the instantaneous value of the ems induced in the coil?

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7.Will a golfer using a wedge that sends the ball into the air at an angle of 54, be able ...

r ball
over a 45 ft tree if she is 30 feet in front of the tree?

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8.A ball is thrown with a speed of 40. m/s at an angle of 20 degrees up from the horizontal ...

nds in a valley which is 15. meters deep. Assume that air resistance is negligible.
Find the time the ball is in the air?

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a penguin aquarium with 6 penguins such that there are only at most 3 emperor penguins?
2. A gold pen,2 red pens, and 9 black pens are to be distributed among Alicia,Alice,Alma, and Aurora. A "Wonderful Set" is a set of pens that contains a gold ball pen but not a red pen. How many distinct ways can the pens be distributed among the girls such that one of the girls receives a Wonderful set and that she receives strictly the fewest pens?Assume pens of the same color are indistinguishable.
3.AMS is producing a set of commemorative license plates. Each license plate contains 5 characters from the string "AMS2020". How many license plates can be made?
4 Eight students including Take,Taki,Taka are to be arranged to sit at a circular table.How many ways can this be done if Taki and Take must sit diametrically opposite to each other,and that Taka must not sit beside Taki?

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someone. Thanks! (:
PROBLEM:
As a golf ball is hit, it leaves the club at an angle of 30° above the horizontal with a speed of 28 m/s.It lands on level ground some time later.
(a)Draw a sketch of the situation, and clearly assign a coordinate system.
(b) What is the acceleration of the ball at maximum height?
(c) How far from the tee does the ball hit flat ground after being struck?

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e.
"As a golf ball is hit, it leaves the club at an angle of 30° above the horizontal with a speed of 28 m/s.It lands on level ground some time later.
(a)Draw a sketch of the situation, and clearly assign a coordinate system.
(b) What is the acceleration of the ball at maximum height?
(c) How far from the tee does the ball hit flat ground after being struck?"

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12.1. A ball is thrown with an initial speed of 20 m/s at an angle of 60° to the ground. ...

ance is negligible, what is the ball’s speed at the instant it reaches its maximum height from the ground?
A. - 20 m/s
B. 0 m/s
C. + 17.3 m/s
D. + 10 m/s
E. + 20 m/s
2. A rhino charges full speed at a car with an initial velocity of 15 m/s. When the rhino collides with the car, it crumples in by 1 m before the rhino comes to a complete stop. What acceleration did the rhino feel as it came to a stop?
A. - 112.5 m/s^2
B. - 7.5 m/s^2
C. - 30 m/s^2
D. + 112.5 m/s^2
E. + 30 m/s^2
F. + 7.5 m/s^2
3. Two students want to determine the speed at which a ball is released when thrown vertically upward into the air. One student throws the ball into the air while the other student measures the total time that the ball is in the air. The students use a meterstick to measure the release height of the ball. Which of the following equations should the students use to determine the speed at which the ball was released? *
A. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.
B. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.
C. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.
D. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.

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The ball lands 601 m away from the cannon. How far above ground level is the cannon?

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14.If a ball is thrown straight up into the air with an initial velocity of 75 ft/s, it’s height in ...

eet after t seconds is given by y=75t-16t^2. Find the average velocity for the time period beginning when t = 2 and lasting.
1) 0.1 seconds
2) 0.01 seconds
3) 0.001 seconds
Finally based on the above results, guess what the instantaneous velocity of the ball is when t=2.

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m/s and hits a second bowling ball mass m2 that is stationary. After the collision the velocity of m1 is -2m/s. Assume that the collision is elastic.
A. 2m1 = 5m2
B. 7m1 = 3m2
C. m1 = m2
D. 5m1 = 2m2

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s. What is the distance between the ball and the rim in a shot in which the ball goes exactly in the center of the rim? Show your work.

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is the time in seconds, and h(t) is the height of the ball
a. How long does it takes for the golf ball to be 30 feet above ground?
b. How long does it take for the golf ball to hit the ground after it has been hit by Jennifer?
c. What is the golf ball's height 4 seconds after it was hit?

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18.A basketball player is 1.85 m tall and stands at a horizontal distance of 7 m from the hoop. If the ...

hoop is 3.05 m above the ground and measures 46 cm in diameter, determine the equations of at least two parabolic trajectories that the ball can take for the basketball player to score from his current position.

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t one type of ball has a radius of
2.4
cm
. The length and width of the box's square base are both twice the radius, and the balls are packaged four to a box, so that the height is eight times the radius. Find the percentage of the box that is filled. Round your percentage to the nearest hundredth. Also round all intermediate calculations to four decimal places.
The percentage of the box that is filled, to the nearest hundredth, is
%

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20.Sir with honour and respect I am going to give some law of science I am class 9 students In ...

m first person to say 4law they are 1 Distance is fixed for second time it follows the first again again 2 there is nothing in rest every object vibrates or shake because things are made by atoms and atoms are made by neutron protons and electrons and they vibrates 3 sun also revolves because Milky way also revolves if milky will revolves sun will revolves attomiticaly because if enter a ball on football and hit it the ball also vibrates 4 The proton neutron and electrons are Brahma Vishnu maheswar 5 Iam yamrit uprety

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21.A ball is thrown straight up. The time recorded as it was thrown up was .94 sec and caught ...

ame height it was thrown. Find the velocity of the ball when it leaves the hand, the max height the ball reaches, and the acceleration of the arm. The arm displacement from rest to release is .41 meters

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22. A football is thrown into the air. The height, h(t), of the ball, in metres , after t seconds ...

delled by h(t) = -4.9 (t - 1.25)^2+9. When does the ball hit the ground?

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23.A quarterback throws a football. The height, h metres, of the ball is given by the equation h = −5t2 ...

t2 + 20t +2 where t is the time in seconds after the ball is thrown.
a) Graph the equation using desmos (if you can take a screen shot of it and include it)
b) Why do we use only positive values of h and t?
c) What is the height of the ball 1 second after it is thrown?
d) What is the maximum height of the ball?
e) How long does it take for the ball to reach the maximum height?
f) For how long is the ball more than 10 m above the ground?

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it is Reading Break I am doubtful that I can contact my teacher before I need to know how to solve this.
The following is the question:
A light shines from the top of a pole that is 20 meters high. A ball is falling 10 meters away from the pole, casting a shadow on a building that is 30 meters away. When the ball is 25 meters from the ground it is falling at a speed of 6 meters per second. How fast is the shadow moving?
Side note: from left to right are the following, lamp, ball, wall with shadow.

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working on it since Friday) As it is reading break I doubt that I can cnotact my teacher before it is due.
The question is as following:
A light shines from the top of a pole that is 20 meters high. A ball is falling 10 meters away from the pole, casting a shadow on a building that is 30 meters away. When the ball is 25 meters from the ground it is falling at a speed of 6 meters per second. How fast is the shadow moving?
side note: from left to right it goes lamp, falling ball, wall with shadow.

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by 5.00 cm and has a force constant of 8.00 N/m. When the cannon is fired, the ball moves 15.0 cm through the horizontal barrel of the cannon, and there is a constant friction force of 0.032 N b/t the barrel and the ball. (a) With what speed does the projectile leave the barrel of the cannon? (b) At what point does the ball have max speed? (c) What is this max speed?

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A (refresher), linear regression, logistic regression, multivariate regression, chi square test (refresher), and more. CLT is a given, so are probability distributions;
I eat MC simulations for breakfast. I only work in Excel; not so much interest in Crystal Ball and other add-ins; I have created my own VBA Excel functions such as Spearman(), triangularprobabilitydist() and PoissonInv().
So hit me with what you got, I am up to the challenge. looking for some fun and challenging time.
Availability evenings and weekends; looking at 20+ hours of tutoring over next 6 weeks.

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28. Value: 1 equation image indicator a. (x - 2)2(x - 3)2 b. (x2+ 4)(x2+ 9) c. (x - 2)(x + ...

2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
Value: 1
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
staplergraph.jpg
a. $19.95
b. $18.95
c. $16.95
d. $19.25
Value: 1
If equation image indicator then x =
a. 7
b. 1/5
c. 5
d. 1/7
Value: 1
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
a. 1/3
b. 0
c. 1/2
d. 1/4
Value: 1
If 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 8
d. 4
Value: 1
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
a. 2
b. 4
c. 16
d. There is no y-intercept.
Value: 1
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
Value: 1
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. 22
b. 28
c. 35
d. 40
Value: 1
(3x-2y4)-3 =
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
a. 28
b. 30
c. 32
d. 34
Value: 1
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
a. 20
b. 50
c. 70
d. 80
Value: 1
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
a. 21
b. 15
c. 19
d. 9
Value: 1
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
a. 54
b. 6
c. 2/3
d. 3/2
Value: 1
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
a. 21
b. 11
c. 0
d. 55

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics